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<p class="MTDisplayEquation" style="margin: 0in 0.5in 0pt; line-height: normal;"><span style="font-size: 10pt;"><span style="font-family: Times New Roman;">In the present paper, we define right and left sided Kober fractional q-derivative operators and show that these derivative operators are left inverse operators of Kober fractional q-integral operators. We obtain the images of generalized basic hypergeometric function and basic analogue of the H-function under these operators. We also deduce several interesting results involving q-analogues of some classical functions as special cases of our main findings.</span></span></p>